{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Populating the interactive namespace from numpy and matplotlib\n"
     ]
    }
   ],
   "source": [
    "%pylab inline\n",
    "import numpy as np\n",
    "import pylab as pl"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 支持向量机"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "支持向量机有两种：SVC，支持向量分类，用于分类问题；SVR,支持向量回归，用于回归问题。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn import svm"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 线性支持向量机（Linear SVMs）:一些感性认识"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "我们采用一个非常有名的用于分类问题的数据集：鸢尾花数据集。它是基于鸢尾花的花萼的长度和宽度进行分类的。我们只用其中两维特征，这能够方便可视化。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "SVC(C=1.0, cache_size=200, class_weight=None, coef0=0.0, degree=3, gamma=0.0,\n",
       "  kernel='linear', max_iter=-1, probability=False, random_state=None,\n",
       "  shrinking=True, tol=0.001, verbose=False)"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "svc = svm.SVC(kernel='linear')\n",
    "# 鸢尾花数据集是sklearn自带的。\n",
    "from sklearn import datasets\n",
    "iris = datasets.load_iris()\n",
    "# 只提取前面两列数据作为特征\n",
    "X = iris.data[:, :2]\n",
    "y = iris.target\n",
    "# 基于这些数据训练出一个支持向量分离器SVC\n",
    "svc.fit(X, y)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "将预测结果可视化"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "from matplotlib.colors import ListedColormap\n",
    "# 因为鸢尾花是3分类问题，我们要对样本和预测结果均用三种颜色区分开。\n",
    "cmap_light = ListedColormap(['#FFAAAA', '#AAFFAA', '#AAAAFF'])\n",
    "cmap_bold = ListedColormap(['#FF0000', '#00FF00', '#0000FF'])\n",
    "\n",
    "def plot_estimator(estimator, X, y):\n",
    "    '''\n",
    "    这个函数的作用是基于分类器，对预测结果与原始标签进行可视化。\n",
    "    '''\n",
    "    estimator.fit(X, y)\n",
    "    # 确定网格最大最小值作为边界\n",
    "    x_min, x_max = X[:, 0].min() - .1, X[:, 0].max() + .1\n",
    "    y_min, y_max = X[:, 1].min() - .1, X[:, 1].max() + .1\n",
    "    # 产生网格节点\n",
    "    xx, yy = np.meshgrid(np.linspace(x_min, x_max, 100),\n",
    "                         np.linspace(y_min, y_max, 100))\n",
    "    # 基于分离器，对网格节点做预测\n",
    "    Z = estimator.predict(np.c_[xx.ravel(), yy.ravel()])\n",
    "\n",
    "    # 对预测结果上色\n",
    "    Z = Z.reshape(xx.shape)\n",
    "    pl.figure()\n",
    "    pl.pcolormesh(xx, yy, Z, cmap=cmap_light)\n",
    "\n",
    "    # 同时对原始训练样本上色\n",
    "    pl.scatter(X[:, 0], X[:, 1], c=y, cmap=cmap_bold)\n",
    "    pl.axis('tight')\n",
    "    pl.axis('off')\n",
    "    pl.tight_layout()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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NUUQpisLmzYvYuPEH9HoDL7/8/l1NZL0TX3zxAvsO/QVAk0ZtGTzYueHzWVnp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\nc4jZs2oPvyz4BespK0q6wqm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w6NtB+S5SNquNMR3HEJkeia2hDfVkNb0+70Wbnm0c4rZ8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\nAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x15a66cf8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_estimator(svc, X, y)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "* 正如我们所见，`kernel=\"linear\"`（线性核函数）给了我们线性的决策边界：两类之间的分离边界是直线。\n",
    "* 多分类的工作方式就是\"one versus one\" ：在任意两类样本之间设计一个SVM，因此k个类别的样本就需要设计k(k-1)/2个SVM。当对一个未知样本进行分类时，最后得票最多的类别即为该未知样本的类别。\n",
    "* **线性支持向量分类器（LinearSVC）**：对于线性核函数，有一个新的对象`LinearSVC` ，它使用了不同的算法。在某些数据集上运行地更快（比如稀疏数据集，文本挖掘就是典型的例子）。它对于多分类采用的是\"one versus all\"策略。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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s71rBDygKlv4Wjuw44hRzfs95NE9poB6gBfV9lYiDEdgstmzLvFth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\nSUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x15c39550>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_estimator(svm.LinearSVC(), X, y)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 支持向量与正则化"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "* **支持向量**：就是最靠近分离边界的样本点。支持向量机的工作方式就是找到这些支持向量，它们被认为是在二分类问题中最具代表性的样本点。\n",
    "* 为了更方便的可视化，我们选择二分类问题，也就是只考虑鸢尾花数据集中的1类和2类样本。这两类不是线性可分的，所以我们可以看到更有趣的一些东西。\n",
    "* 支持向量的坐标可以通过方法`support_vectors_`来找到。我们在图中将对它们着重标记。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.collections.PathCollection at 0x15eaac50>"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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aVCrFwEb16bRgAS729szu3h2dTodF9+585+HBxI4daTNzPuGxKZR1dmDXT17U\nmTiRqPh4ni1f/o8xZleCmjq1CdeuHWbOnOts3z6FixdPIpNBmzaDcXBwYcmSHnTvPocWLUZy9+45\n5s3ryJQpgcTGPuX4njlIBh1fNRmKq2t5fHxq0qvXQipVasbt2wFMmFCbESO2YmSkwm+VN1qtlhoe\nLWnXbixDhhSmYsXmeHltJi0tiWHDijF06AYKFCjFli3TePkyhsqV69GgQV/mz/+O/PmL0bXrjGwZ\nE4NBz969C7lx4xwODk58991YrKwc3ttWkiROnFhDYOABrK1t6dDBm3z5imRLnJn14sVTtmyZRnz8\nC6pUaUCjRv3/snhwcnIcW7ZM5fnzMNzcqvLNNz+89dTi7CYS1Ju+8AQlSRJtpk7FcOcOXbRa9hsZ\ncd/JiVPTp79zWevf0Op0mHXtit/gwWwLCODKlStM5dV2yxnA0SlT6O3ri5OtLcfGj+erX35hZIsW\nAAxbtIhJWi1JwBRjYw5NnMjBq1d5FB3N799//0FxeIwdS4pGw9zu3WkweTYwFglnZHjTsUZh6pQp\nxfA1a0hdt47VJ0+yNziY1YMG4TZiDHHJ3dAZKmFmPJMBDVwZ3qwBlby9eeLry6KDB5no78/z5ctx\n7O+FVtcCAy2R40t+6/sEzZqIU//+nJ0yhZolSvxtjNmVoL79VkG1am3QaNRcvXoemAXEA2Pp3Hkc\nR44sJyXlJWvWvGT+/E6UKFGTokWrMG9yQyZpU1EBPioz+v6wjcTEGAICNuDjc4gxY2qg16fTufOv\nTJ3aGvgFKIgMbzxq1aNYieqsX/8j69encfTob1y/fpj+/X9j5MjKJCd3xmBwx9h4Lo0aNaJx476M\nHl0VX98nGBubZfmY+PoOIjDwJhrNIBSK89jYHGTu3EuYmlq+03b79hns3LkOjWYMMtl9zMyWM2fO\nJfLk+bANyNklMTEGL6/KpKR0w2Aoi7HxbJo0aU6XLpPeaavVpvHjjzV58aIGOp0nKtVKKlXKz8iR\na3Mg8leyOkGJfVCfkaexsQTevs02rZZvgdXp6SRGRXH50aNM9Xfm9m0Aunz9NcevXmU30AUYB3QF\nJvr70+Xrr7ny+DHpOh0XHjygZeXKLNq+HV+tlt7AcGCURsOKAwdoW706J2/d+uA4bjx5Qs+6dZno\nvx3oh8QYoCsSf7D9wk0GNGyIzmDgalgYJ0NCaFutGrsvXyZFUw2dYSbwHamaAyw5dABne3uK5c/P\n1ceP2X0u8dNiAAAgAElEQVT5MjWKF2fViRNodfkwsA74FgOHiEiIJzYpiQJ58rD+zJl/jLED/hn/\nskpCQgySZGDQoDWvk5Mf0ItXpYl82LFjAS1aeJGaGg/ArVsnqFatDcf3zGGSNpXBQD9ggTaVYzum\nU716W0JCTgHw7NlNPD17sc1/IjAQGA10Q2Ibgef30aTJYPT6dJ4+vUlIyEmqVWvD5cu70GiqYzBM\nBzqh0eziwIGFODi44uDgSljY9XdP4hNLT9dw+vQqNJq9wHfo9fNJSSnE9etH3tt+796FaDTbgM5I\n0ng0muacO7cly+PMrIsXd6DReGAwTOXVGO9k//4F7y2ue/v2GRISzNDplgLfotXu5NKlHaSkxGd7\n3NlFJKjPiN5gQCGT8eeOEhmgkskwGAyZ6s9gMGT8+SNJEqo3jql4dT9EqVAg8b/COHK5HL3B8G5b\ngwGFXI4hEzNyCVAqFOgNBiTevK+hQkJCLpcjex2PwWDIiOHtiI0wSBKSJGXE8efbekkCjCDjbBWA\nnHS9Hrlcnunx+9QMBj0ACsWf5/Xm+RkjSTKUyjdfk5DLFUh63TtfD8mgQy5XYDAYkCQJSQKFwuj1\nub49xrzxJdPrdUiS9Ppj9UjS2z1L0quxkssVGW9npf/9on5zUYYqY6z+v1fn97+YJemv2+YGr2J7\n/xi/v+2b38dKZDJ5rj6/jyUS1GfE1cEBNxcXehkZcQTwUijQW1lRpWjRTPXnUbIkBkli16VLVC1R\ngnbAAWAJsBL4qXVrNgUEUKZgQVRKJRVcXTl09Sp9mjdnsErFLmAdME2lonvDhuwJCsKjZMkPjqOk\nkxPrTp9mVOuWwGLgN2A/MjrSoGwx1p46hVwmo2KRIniUKsXeoCCaV6qESnkSuWwGcBgzVRu6fe1J\nVEICd8LDKe/iQkN3d84/eECvunWRy8OQ4wUcQU57bM1MKZgnD09jY+lQI3c8q8jWNj8ymYwVK/pT\nvLgbr2ZPu4C1wAQaN+7Kvn3zMTF5dWmrZEkPgoP38lXTIfiozNgEbAeGqcz4urkXly/voWTJWshk\nMhwdS3DqlB+tWv8ALABWAPuQ8S3u7h6cOuWHTKbA2dmdkiVrERS0l8qVW6JUHkMmmw0cRqXqQN26\nvXn5MoLnz+9nyx4nlcqEKlXao1J1AA4jl09CpbpJuXLvX4zToEEfjI07AweBRRgZ+Wd5GamPUaVK\nKxSKQ8hkc3g1xh2pW7fPe+9Bubl9janpc+TyMcARjIw6U7q0J5aWdtked3ZRTJgwIadj+PdCQibk\ndAg5SSaT0c7Dg/OJiWyTJCzLlMFv5EiszDJ3H8BIqeTkrVusOnGCwGnTOPvkCctiY7loasqC778H\nmYyFBw6w1cuLgnZ2GCuVzNi1i9ndu+OYPz8rX77kTr58zO7fnxKOjvRZtozZ3bpR0O7DfmCK5svH\nr7t20bNOHRqUc+NsyFIU8p20qlKIDcMG0WT6dOqULk33OnUo6eTECD8/mlSowIhmjXgUvRtLk/30\nqFuEWd064uXnR8XChWlbvToepUoxads20vV6fPv24OAVP3S6rbg5JXFpxgQ6zJ1LikaDb79+HxRv\nCGU+qP2HuH79CMHB+5g06TShoQHExv6OXH6YBg064e7eiAMHFtKmzRjKlKmLlZUD69f/RLt2v1C4\n1FdsehFGQJ4CNO8yA/fyjVmypAetW3tTsGBpHBxc2bVrBvXr96d06Zrcuz0ZhXwXVarUZPDQNUyf\n3oxy5epRu3ZXnJxKsXr1MCpVak7TpoOIjt6AiclhPD3r06XLJNasGUHRolWpVu2bLBuHN1Wt2hyN\n5j5a7SaKF0/nxx/XY2OT/71ty5Wri0KRSErKWlxcohkxYhUFCpTKljgzw9TUiurVW2aMcb16jeja\ndRIy2btzB6VSRa1a7XjxYhdGRnupVq0sAwcuRqHIuSX/ZcowMSv7F4skvnCJqakUHToUncHA6Nat\nGdKkCeEvX+K9YQO7Ll3i+0aNWNKnD/DqckvfZcu48vgxv7RrR7OKFdHqdGw7f55J27YxsFEjfmrd\nOlNx9F66FL+TJ2lXvTozunQhn7U18/bvZ+auXZgZG/Nw4ULMTEwAOHj1Kt0XL8areXN6eXpib2nJ\nxQcPmLFrF1EJCRwZOzZjZeOGM2fovngx1YoVY0aXLtQoUYKdFy/is3kzYTExnJ86lUpFPmyVV1Yu\nmNBqtfTta49Gk0zVqm3o128ZKSkv8fXtxb175yhY0I25c0My2m/dOp6AgI20bz/u9TJzBZcv72b7\n9smUKeNJr14LMv4aX7y4B2fOrKdGjQ507jwda+t87Ns3l927Z2JiYsGiRY9QqV6NcXDwfnx9e9Ki\nxcg3lplfYOfOX0lOjmXs2MOivp4gVvG9RSSoLJGqVtPvt9/448IF1OnpALjY2zO+Qwd6eXq+1VaS\nJDafPZuxUVcuk9HI3Z3hzZrRwN39o+JYfuQIU7Zv51ncq0c/mKpUdKxZk2X9+mXsa/rTzSdPmL9/\nP/6BgW9t1B3QsCFmxm/vzwm4fZthq1dzNSws475UbTc3VgwYQNH87/9L/O9k9Yo+vV7PtGlNuHnz\neMb9CKVSRZ06PRgw4N0HGwYH7+fAgQXcvHkCkChZ0oMmTYZSvXrbdy4VHTq0lB07phIXFw6ASmVG\nrVod6d9/+f+7vwVPntxg7955XLiwDbU6JWOjbsOGA1CpMr+1QfjvEAnqTSJBZbk/FyH8G39+7/zV\nno3sjOPfxvAh/f6V7Cx7pNf/uXDin4utfujXI6vGWPhyiFJHQrb6N7+wUjUaNp89m1HqqKG7Oy0r\nV0b5L36Jfqo4JEki8N49tp0/T1JaGiWcnOhRp85fli66HhbGxoAAXiQl4WxvT486dXBxeP9mz4eR\nkaw9fZrwuDjyWlnRrXZt3AoWzDj+5lLz5y9f8uOpOCIjH2BmZkOtWh0pVqzae/tNTn7J6dPrePLk\nRkax2LJl6/3tL/5/k5h0Oi0XL+7k1q0TSJJEqVIe1KjRIeNy3V/5kEQtkpOQE8QqPuGDHLl+HdfB\ng9lx8SLlXVwo6eTE3L17KTliBDefPMmWGGKTkvCcOJGevr7YWVpStVgx7oSHU3LECBbs3/9W2zSt\nlo5z59Js+nSMFAqqFStGbFISlby9+Wn9+rf2m+gNBoauWkUNHx+S1WqqFSuGBNSbNIluixah1ene\n6nv6jh2UGTmS6OjHFCtWDTMzK+bP/46pUxuTmprwVttTp9YydGgRHjy4QNGiVbCzK4ifnxejR1fN\nuNyWGY8eBTN0aDGOHFlKwYKlcXYux5kzGxgypDC3b//z/i5ByM1EghIyPIuNZVNAAPuCg9Hp391b\ncT0sjM4LFrBt5EhWDxqEvaUlzvb2HPLxYWKHDjSeOpWYxMQsjVGSJFrPnElFV1dC5syhWrFimBsb\nM6ZNG67OnMmiAwfY8MbG277LlgHwaPFimlSogJlKRd/69bm/cCGnQkKYvmNHRttfNm/melgYDxct\nolvt2pipVHxTtSqPFi8mPiWFoatWZbT97ehR1p0+zc05c2jRwgtjY3NKlfqaBQvu4eDgyrx5HTOS\n35UrB9i0aQyTJ5+jc+dfMTW1pFChsvz6axBVq37D1KmNM4rCfoi4uHCmT29Gjx7z8PbeQ548BbC2\nzsvw4ZsYMmQts2e3JSLiXmaH+ouQmBjDuXNbuHRpF1pt2j9/gJCtxD0oAXhVD6/1lCnUBsIAq0KF\nODBxIqo3Sih1X7yYcs7OfFO1Kp4+PlTS6UgCYq2tOTV9OqPWr6dovnyMbtMmy+I8duMGXn5+XJkx\ng86zZhESEkJp4LjBgN/IkViamtJv+XJuz5vHg8hIvho3jrAlSxi7bh1/nDxJdZmMEwYDU3r0oH75\n8lQdPZonvr5odToKDxlCyNy5+AcE8OuWLdSRyzknSfRs0oQf27bFdfBgrs2ahaOtLYUHD2bnqFE8\nio6my+J1yOX1kKRrVKpUg2HDVjBiRCmGDdtA8eLV+eWXr2jRYiTW1vmYO7UxdWQyHgNyZ3d+HH+c\nadOa0LDh99Sq9e0HjcWmTT6o1cm0bevDpJ+rUCQlHhVwQ2XKuF8vcfz4KhITo+nb1zcLvhKfv/Dw\nO4wdWx+9vgrwElvbZKZPP4mZmVVOh/bZEKWOhGwxePFifNVqtqnVXFCrUYSFsebkyYzjBoMB/8BA\nent64r1yJSNSUtitVnNcraZabCyzd+6kT716bD53Lkvj3HLuHL3q1mVvcDAPQkIIUqvZolbzh1ZL\n/8WL+apUKQySxLWwMLYGBtLJw4O7ERFsOXGCKxoNm9RqArRaRq5eTV4rKyq6unL42jX2BQdTx80N\nI4WCcZs3c16rZZNaTZBGw7IDB4hKSKBttWpsv3CBwHv3sLO0pGLhwvRY8jta7UHU6s1oNMFcuXKR\nkJBT1K3bk7NnNxMb+4yIiLtUqdIKv8XdWaVJYac6mSB1MlZhVzlzZj2enn04e3bzB4/FuXObqVev\nDzu3/MI38ZGcVCdxWJ1E/+RY/Nd4Ua9e5vr9UqxY8SOpqd6o1btQq08RE1OO3bvn5XRYwhtEghIA\nCE9IoObrt+VADa2W8NjYjOManQ6DJGFnaUn4ixfU+nPFGFBTpyM8KgpHGxviU1KyNM74lBSc8uQh\nPC6OKm+UXKoBRKakIElSRhzxKSk42tgQHhdHaaWSP5dPFAOsFApeJCXhaGtLQmrqq7a2tkQlJJBf\nqcT5dVt7oLhSSXhcHI62tv/r19aWVI0GTboaqPi6tSlQgbi4cGxtHUlNjSclJR4rKwcUCiUvEqIy\nxlgB1NKmERf77HXbt+9Z/RspKfHY2joSHx2Khz4943UPg574mDBsbPKTmprw3rpuArx4EY4k1Xr9\nngydribR0c9yNCbhbSJBCQDUKl6cWQoFBuApsMHYmJpvlC0yMTIij4UFIc+eUatMGeYZGaEBXgIr\njI2pWa4cwaGhFMmXL0vjLJIvH8GPHlG9eHF2A3d5VUpulkxGtUKF0Op03A4Pp3DevBTNl48rjx9T\n3tWVYL2eP+d2GwCFsTGONjYEh4ZSOG9eirxuWyRfPpLkcv543fY4cM9goEzBghnnVyRfPq6HhWFs\nZISrQ0FksoWvo7iBwXCUokWr8OhRMHnzFsHOriAvX0aQnPwSt+LVmaFQYgCeABtUppQoWYvQ0GDy\n5i38wWORL19RQkOvULRcAxYam5EIpAHzVKYULevJ48dXyJu3sFiB9xfKlKmFkdFcQAvEYmy8grJl\na/3ThwnZSCQoAYDfhg3jqosLFgoFJRQKBrZrR5MKFTKOy2Qy+tarx+zdu5navTtSmTLYyOU4yuXU\nrFOH3vXqMW/fPvrVr5+lcfb29GT1yZMUzpuX6b17U0WpxEKhYLujI5u8vfE7dYqKhQvj4uDAdx4e\nHLp2DU16On5eXrQyMcFCoWCcjQ27x47l+K1b6PR6vnZzo6G7OxFxcVx++JCdPj54WVlhoVDQydSU\nzT/9RFRCAufv36dd9eqULlgQFwcHtpw7x0GfEbg6LECpMMfEqCbff78ACws7zp7dhKdnL8zNbahU\nqTmHD/vSZ/gmjjq7Y65QUlJhhGeHCZQoUYvDh5dSv/6HlVsCqF+/L3v3zqFJcy+sanTEQa7ARq4g\nrUJTvvl2Mrt3z85Uv1+KXr1m4uaWilxujVxegHr16uPp2TOnwxLeIBZJCG9JVqsxMTJ6756muORk\nao0dyzdVqzKmTRuUCgUKuZyXKSmM9PMjOjGRA6NHZ+rZVB/ip/XrOXHrFmsHD6aEkxMpajWmKhXr\nTp/m540bOfrLL7i7uADge+gQc/buZeOwYVQtWpQktRoLY2P2BgfTb/ly1g8dSqPy5QFelXZasYLV\ngwbRyN2dJLUaSxMTzt69S9dFi5jYsSM969YF4OKDBzSfPp35PXvyba1apGo0WJiYMPepG4sWdaV6\n9XYZj2ePinrEuHFf0arVTzRs+D0Ggw4jIxNevHjCsmV9cXBwYeDAVR8809Fq1UyeXB9Hx5J07Trj\ndRFZCa1Wjb//BEJCTjJpUsB7n5sk/I9Gk4pCoXynkobwz0QliTeJBJXjohMSGLJyJUdu3KBG8eJo\ndTqCQ0Pp7OHB7O7dMVVl/Q+5JEnM3buXWbt345o3Lw6WlgSHhlI0f34W9ur1zhN91546xfitW7Ey\nM8PZzo6Q8HCsTE2Z3a0b9cu9XZH7wJUrjFq/Hq1OR0lHR0JjYtCkpzPlu+/4ttbbl38u3L+Pl58f\nT2NjqeDiQmRCAg/j0mjTZjSNGw9+K+FERNxj9eqhhIZeoVixaqSkxBMRcYfGjYfQvv0vyOWZ2+Ss\nViezZo0X58/7U7RoVeRyBQ8eXKBixeb07r0QC4s8mepXEP4NkaDeJBJUrhERF0dwaCgKuZyaJUpg\nY26e7TFodTrO3rlDklpN8fz536r28P/pDQbO37tHbHIyhezsqODq+pczFkmSCHr06FUlCWtrqhcr\n9rdVF24+ecKj6GiszcyIKDEGpfKvq0tHRj7k2bMQVCpTSpXy+GQ17ZKSYrl//wIgUaRIFWxssvZe\noCCAKHUkZKOwmBhuPX2KiUpFrRIl3inQ+qa45GSCQ0MxUigo5+z8twkqPiWFC/fvIwGVixTBwerT\n7DNRKZV4li37r9pKBgO3w8N58uIF2vR0Khb++0UJCrk8498/XXpTKhTIZbJ/1fbly+c8ehSEqakl\nRYpU+dsEFR8fSWjoFeRyBcWL1/jb/TmWlnZUqtTsbz93Zuh0Wu7dC0StTsbRsQSOjsU/+ecQhL8i\nZlACj6KiGLpqFRcfPKBK0aIkpKZy//lzhjRpwth27VC8MXu4HR5O06lTefLiBbYWFhgMBhJSU3F3\nceH4+PHksfjfIxhS1GpGrV/PprNnqejqikIu5/KjR7SsXJn5PXu+1TYrDV65kt+OHkUhk2FlZkZc\ncjLGSiVTO3ViRPPmb7U9dPUq3hs2ZFRID42ORpIkpn73He3+34MNLz98iJefH6HR0bi7uBAZH8+T\nxHTatPGhYcMBbyWrGzeOsWBBJ5KSXmBhYUd6uhqNJoXSpT3x8TmE8o37dgkJ0axePYxr1w5RrFg1\n0tM1hIVdp06dHnTuPP0fa+x9CpIksW/fPPbsmU2ePAWxsrLn0aNgChUqQ8+eC3B2/nd/GAj/bWIG\nJWSpsJgYao8fz4hmzdj2ww/Aq5nJ4+ho+i5fzuOYGFYNHIhMJiM0KooKo0bh7uLC6UmTsDEzQymX\ncy8yklYzZlB82DCe+vpiZmKCVqej+a+/UsjOjjvz5pHHwgKDJJGq0TDB3x/PiRM5M3Fiph+2+G91\nXrAA/8BAFvfpQx9PT+JSUshjbo7Pli2MXLuWdL2eUa1aAbA3KIi+y5axcuBAmpQvjzo9HVOVitO3\nb9N98WJStVq61a4NvEpOTadNY26PHnTy8ECr02GqUjHrcXEWL+5GUtIL2rUbC0BIyGmmTGlE5cot\nGDRoNQAmJhbcvn2GOXPa8cMPZZg37zZyuZzk5DjGj69NlSqtWbLkMUZGJshkchITY1izZjizZn3D\nzz/vRaHI2h/dDRu8uXXrBGPHHqFAATfS09UoFEpOnlzD5Mn1GTfuOIUKZd2DG3MrnS4dkHJ0QYUk\nSWg0qZiYZP9l9ewmlpl/4cZt2ULfevXoWbcu9SbOxrJ7b0y79OSPi0Hs9fbm9O3bnL9/H4Cevr4U\nsrPjkI8P9UePJk/Pnlh1787AxYu5t2AB6TodP2/cCLx6UKBCLmf1wIH8smUXpl17YN6tJ32Xr2VG\nly64FSiA7+HDWXpuT168YPPZsxz08eFFUhKWnTtToF8/7Lp0oVqxYoxv356xmzdjMBjQGwwMXrmS\nrV5e5LexocD3I7Hu2Rf7PkMA2D96NCP9/EjTvqqZ5+Xnx9wePahVogSlvX7BqkcfLLr1xfX5Oi7+\nMpzDe3+lVtxyAHx9e1K6dF26dPmVgQPL0rt3Xjp3tmD//qXMn3+HqKhHnDrlB8DevXMpWdKDDh3G\n8/uCLvTsZk7PrmYc3D2TYcM2kpqawMWLO95/wp9IRMRdTp3yw8fnEA/vX6BPN3P69LBikndlKlZs\nRrt2v7Bhg3eWxpDbGAx6fH0H0bWrBV27WjJ/fq/XySp7BQfvo0ePvPTsacfAgW48exbyzx/0GRMJ\n6guWmJrKrsuXGdq0KV0XrSLoUS30hlTS9XeY4H+Cs3fvMqhRI1YcPYrBYCDgzh3mdO9Os/HjKZWQ\nQDIQBSQ/eUL/pUsZ0KAB614Xal1x7Bg/tGjB4kNH2RAQg94Qjd4Qz4ErJozdvIMfW7ZkxbFjWXp+\nozdupKCdHbbm5kzbvJnDvNqSuUCS6Dl3LqNatkQGLDtyhCPXr5PfxoaqxYrRaMocohIWoDeoeZmy\nkZYzFuJoa0u1YsXYfv48t589IzQ6mk4eHjSdtpAHUQPQG9Skak/T09ePl8nJfOfhwZqTJ4mJCSM6\nOpQBA35j7NhmaDRtAQ1wj6CgAE6fXoe7e0N27pyBJEkcO/Y7LVv+yBa/kTjcPEaSQU+4QUfosRWc\nPuVH8+ZeHD367kMLP6Xjx1fi6dmbqKhHbFs1lMvpatQGPR3Cb+M7szX16vXh/v3zxMZ+OVUXdu+e\nT2DgLQyGaAyGOC5ffo6//7RsjeHFiyfMm9cTtXo3BkMasbE/MGlSKwwGQ7bGkZ1EgvqChcfFkc/a\nGjtLSwLv3SFdP4ZXRXhcSNV0J+DOXSoXKcLDqCjiU1MxSBKtq1blcUQEPwMmgB0wAggKCaF11aok\npb2qCP0gMpJKRYpw+Np9UjXDARvAjDTtjxy78YBKhQsTGh2dpT9c954/p0yhQuwJCqIi8DWvSjP1\nBFSSxJXHjymQJw9XQkN5GBmZEVO6zhLo8Lp1QxTy4tx8+jRjLB5GReHu4oJWp+NR9BMk6YfXbSug\nkDfg0sOHVC5ShAeRkTx6FIxSqSJ//qKkpEQBY1+PsSvQi+DgA5Qt60liYhQaTQppaYkULOjGg5vH\n+SldjTGvyi0N1qTy4PoRihSpTFTUwywbM3i10rBw4Urcv3+e1pKBUq/Pzseg5/bjqxgZmeDkVIro\n6NAsjSM3uX79LBrNEMAaMEerHc7162ezNYZXC2aqAzV59RXpS0pKIgkJUdkaR3YSCeoLZm1mxouk\nJNJ1OvJa5wEuvD5iwEwVSIE8tkTGx2NtZoaVyasb8w8jIzEzMeH8G/0EALa2ttyJiMDo9QZfG3Nz\nIuPjcc1rg5EiMKOtXHYeZ3sbohISsDQx+ein2/4dGzMzouLjKVWgAHeBPx8E8hBIBormz098air2\nlpZYm5kRGR9PXisrtPoYXhV8AohFq3uIk+3/xuLPczNVqTBWGgPXXrdVA9feamtr64Ren45Wq0Yu\nN+XNMYaz2NsXIjo6FCMjU1QqUyRJIiUlHmu7gpx/vchCAgKVKqzzuhIfH4mZ2fsfyvipmJlZEx8f\niY2NI0EKJX9eyLoA2FnYAmRLHLmJg4MjCsWFjPfl8gs4ODhlawy2to4YDLd49d0LcA9JSsPc3DZb\n48hOIkF9wZzy5MGtQAF2Xb7MmkHdsTDpi4VJOyxMqlGmUAw969Zl5fHjdKxZE6VSiauDA8PXrGHp\n8OGMB5oAtYCdcjnrvLyYvXs3X5UqBUDHmjVZefw4Ezu2Jp/1LixM6mNh0ow8FouY36tDRr9ZaWSL\nFlwNC6OxuztFChbEDWgPVAY61qrFg+fPeZmcjFeLFjSvVIkTt26hMxiY/G07zFTVsDD5DnPjigxp\n7ImjrS3bL1ygXfXq1ChenJjERK4+fszq/2vvzgNjOts+jn8nmcxMdmsQ+5akaBCUiH0ptT+1a6u1\nVFuq1VaEFiktbVG0RYu2ai1irZ1EggixxE4QQiwhIshm9nn/sDSex2tLRibJ9fmrM3Pcc51Tyc99\nzr0MHoiTqhUump64aGrRpqYnzapX56+ICHo2bIiXV33UamdCQoJ5771xQB+gM1ATtTqOgQNnsnv3\n39Sv3xU7O3vq1etCePg8eg2cxQQndzpqXGimcSWiaBk6dBnF9u1/PPe2HM+rYcMehIf/Sb16nVF7\nN8RP40J3jQtdVE70G7KAU6d2olQ6UK7cq09vLJ/o3XsMbm5r0WjeQKPpiIvLX/TtO/6l1lC5cj0a\nNmyPWl0HjeYtVKomDBjw80sZ1ZlbZJh5Abf58GEG/vYb20aPxlmjYefJk7g7OdGmZk2mb9zIn+Hh\nHJ40CY1KxfKoKHr99BMz+/enWY0azNq8GY2DA4GdO/PNihXM2rqVo1OmUL1sWa6mpOAXFMSsgQNp\n7evL5sOHMZnNtPb15VhCAt2nTmXnuHFPnFybE8oPHgzAialTmbd9O0cTEmjl68trlSvjGxjIa5Ur\nExZ8b0mikYsXEx0Xxz8jRnAmMZHjCQlULVUKv4oV6TV9OsXc3Pj9ww8B+G3rVmZs2ULomDHcSk9n\n/7l7vaxm1avzybx5nElMZNvo0axQ9CAkZBwrV35DUNA6HB3d2LVrEa6uxejSZRRTpvyHkycj+P33\nGzg5uREff4gJE9owYsRaSpSozLFjYSiVKmrVasv+/WtYtGgEkycfwc2tmNWumdlsZvRof6pVa0bv\n3hM5dmwbqak38PLyR6lUMW5cC3r2HE+jRn2sVoMtysxM5fDhzYAFX9/XcXF5+T0Xi8XCyZM7SE5O\noEKFWpQv7/vSa8hKVpLISgLKKuZHRDBs/nza165Ns+rVuZOZyaJduzBbLKwLCqJcsX9/GU5YtYox\ny5ZRwt2dFjVqoDMY2Hb0KBk6HUs//ZRuWXpFB8+fp8vkyVQtWZKu9etjb2fHuoMH2X/uHEuHDaPF\nM06yzY7k1FR8AwNJunOHAG9vKnp4cPTiRQ5fvEjtChWInjDh4RykB1u+r9i7l3ebNsWndGnik5KY\nFx5O02rVmDd4MGqHe6tEWCwWJqxaxdT16+kVEECdSpW4dvs288LDqeDhwYrPP6eQszMhdAfg11/7\nE+FyJi8AAB5wSURBVB4+Dw+Pivj4NCY9/SbHjoWhUCj4+usdVKlS72HNhw5tYsaMd/D2bkTt2m9g\nNOrZs2c5KSlXGDHin5cyByk19QaTJ3chPT2Fpk3fxdW1GGfPRhMdvYJu3YJp336Y1WsQtk8CKisJ\nKKtJSU9nfkQExy9dQuPgQKe6dWnt6/vYZ0RJd+4wfMECouPisLOzo13t2nzTowdOmv+91aA3GlkV\nHU34iROYzWb8vbzoFRCAk1r9Mk7rob8jI5m6YQN37u/lNK5HD5pVf/w8nrOJiczfsePeUkdubrzT\npAk1ypV77LFXUlL4KyKCc9eu4e7kRI+GDWlQterDSboPAgogMfEsCxcGcuXKSZRKDY0a9aZjx8BH\nJuk+oNWmExm5hLi4fdjZKfH1bU3dup2euIxSTrNYLJw6tZO9e1ei1abj6elNs2bvyTJK4iEJqKwk\noEQekzWghMhvZCUJkae1+fZbth079nBXVwVQt3Jlor755rE9h2d18vJlpm/YwIq9ex8uSzSoZUve\nb9XqpayoDve2Jpm9bRtzw8I4d/36vR6Uvz/D2rXDy/PeCK/uhABgMBr5OCKNbdt+IyHhOCqVI3Xr\ndqJ9+8+oVMnvpdQrRF4jo/iE1RTt14+tR49SpUQJor79liOTJ+Nbvjz7z53D9d13MRqNL9Tu1iNH\naBocTLlixTg6ZQppCxYwa8AAth49Ssvx40nXanP4TP7X7YwMmgYHs/v0aeYNHkz6ggUc/P57irm6\nEjBmDDtP/jvDX2cw0GnSJCIjl9Cnz/fMn5/KTz+doUKFWnz33Rvs2RNi9XqFyIvkFp+VxCclMXbB\nAq7fvEnT2rUJ6tr1sZsA2gqLxcLMjRtZHxWFm7MzX/XpQ83/2lfpeXSbMoWV+/ax8osvmBMaytYj\nCYACv4qF+PX9gbz25Zf4VazIwR9+eK52UzMzqTR0KGsCAylVqBDBCxeSlJJCcz8/hv/nP7w/ezYu\nGg0zBgx44dqfRb9Zs3BUqZj+7ruMW/EPoUfjKFfMnR/f7caZq1d5+5dfiJ85E0eVinEhIRw4d44+\nw/eyefOvREVtwNW1EG+9NRqLxcK4cc2ZMuUoRYqUtmrNQuQ0a9/ikx6UFdxITaXxyJH47N/PZ+fO\nEfbPP3wye3Zul/VEE5Yv58+lS/n47FkaHz5M67Fjibt27YXbW3PgAGWKFGHhzp1sORKPhZ+w8BsH\n41MZNHsOfhUrEhP//CsRLNy5k+bVq1O1ZEmajBpF9QMH+OzcObauXcvnf/zBxN69WRIZSWpm5gvX\n/jTJqams2b+fb3r2pO/MP5i2IZl9575h9f4A6o4cT51KlahdsSLLo6IwGI38tm0bP7z9NiEhE1m2\nbAFxcUM5dCiA0aNbotG44O/fg7Cw361WrxB5lQSUFWyMicHfYOAri4U3gFV6PX/u3InJhtfMmrtl\nC4t1OjoAQ4E+ej3Lo6JeuD2T2cyYbt1Yf+As8APwDveWD5rDkYuprA0MBHju23y7T5+mU926bIiJ\nobHRyKj713ilXs/vERGULFQIb09Pjly8+MK1P82B8+epU6kSro6OrNi7i7v6tcAbmMzjuauvydaj\nR+lcty6RsbGcu34dZ7WaamXKsHXrXHS6JUAH4BP0+p7s2RNC3bqdiI2NtFq9QuRVElBWoFAoMGV5\nbbz/nlX7wtmkUCjIGhUPas6Of9fZ+++WLWhf8PmTQqHAbDY/9hrb3f/cQvZrf2IN3Lsl+u83PHp+\nCsBssdz7f36/nn//5L/HKhTGe5/fP1YI8SgJKCvoUKcOMWo1o+zsCAE6qdV81LKlVdedy66PO3ak\nl1rNUuA7hYIQtZo+jRq9cHv2dnaMW7GCHgE1gJHAr8A8YBAB3h78Z/JkFPDcI/maVqvGmv376VS3\nLvvUar7Kco0Ht27NpZs3OZuYSO1sPD97mteqVCEmPp5bGRn0bdISJ3U7IASl/ee4OcbStlYtVu/b\nR9Nq1ahcogR6o5GjFy/SseNQ1OqewFIUigmoVKsJCOjNvn2rqFatqdXqFSKvsv/6669zu4Znd/Lk\n17ldwrNwVKno3qgRW1NT2evqSvtWrRjTs6dN/yvZ39sb50KFWKPXk1mlCr9/8gmVS5Z84fbirl0j\n6vRpPm3bFie1HacuL0XBVlrUKMPYbt2Ysm4dDb28GNCixXO16+3pSeCiRTT08iLozTfZkpZGtKsr\nnV5/naCuXRn8++80eeUVOtSp88K1P42jSkV8UhJbjxxh9qD+qJQpWCwbaVY9g2WffUjU6dPMi4hg\n9qBBqJRKdAYDc0JDWd6/HWUKg9awgXpVLtPv05Wkpd1g6dLRfPjhH2g0L2eHYSFySvXqjLNm+zKK\nT1hNqUGDuHb7Np6FCzP57bfRqFSMWLSIc9ev46LRkLZgwQu1u/PkSbpNnUr/5s3p17w5xd3ciD57\nlsn//INCoWD9yJFWnwuVrtXSZsIEXDUavujY8eFSR39s386iXbtYFxTEa1WqAGA0meg5bRqXU1II\n6tyZptWqcTsjg1G7UtiyZSYfffQndep0sGq9QliDrCSRlQRUnvPWzz+zLCrq4QARhUJB61dfZcvo\n0dlqNz4piRmbNxOyZw9pWi3e9yfqvt2kCapsTAB+Hlq9ngU7dzInNPThRN2e/v4Madv2kfUL4d6g\nkeVRUfy6bRvHExJwVKmoUa8XbdsOpUyZV15KvULkNAmorCSgRD4iyyCJvE6WOhJ5WoZWy5LISMJP\nnMBiseDv5UXfpk0p5Oz80mqwWCxExsayeNcubqanU7ZoUfo3b/7/LgArhLANtjusTOR5UadPU3no\nUNbHxNCmZk3a+/mx58wZKg8dysaYmJdSQ9rdu7SdOJH3Z8+mSsmSdGvQABeNhtcnTOCDOXNsem6a\nEAWdBFQ+dyg+nllbtrAqOjpHfxlfvnmTuaGh/BURwe2MjP/5PCE5mS6TJ/PXkCHMGzwYs8WC1mBg\n6rvvsmHkSN6bNYujVpxM+0DfGTMoXbgwx3/8kWplypCcmkrbWrU4PX06ZxITCV6+3Oo1CJFTLBYL\nBw+uZ/PmmZw5sze3y7E6eQaVjy3asYPhc+fSGThkZ0dpLy9WfvlltudjHU9IoNWYMbQ2mUhTKDjh\n5ETU5MkUd3N7eEzQokUYzWa+6NCBgKAg/LRaNMB2e3siJk5kzb59nLpyhb+GDMneST7BiUuXaP3t\nt8TPmMHA3+azel8CJksj7BQbGdf9dXoF1Md3+HAuzpqFq6Oj1ep4VvJMSjyJxWJh+vR+xMQcwmLx\nB9bTp88o2rWz3s/Q08hafOKFWCwWPp47l1C9ntl6Pbu1Wi6eOcOmw4ez3faX8+Yx5u5dFur1rNHp\naJuayuRVqx45ZkV0NO81a8b3ISF0S0tjpU7HYp2O4XfvMmb+fPo1b87K6Ohs1/IkK6Oj6RMQwPFL\nl1i97xQZugNo9XPJ1O3lq6XLcXdyon7Vqmw7etSqdQiRE86e3UtMzG50ur3o9b+h10eyaFEQev3d\n3C7NaiSg8imdwUCmwUC1+68dgOoWC0l37mS77aRbt6iV5XVNk4mklJRHjknXainu5sb1mzepleXW\nYk2LhaRbtyjq6kqGTpdlOaSc97CG27ext68MPBiYURalnSsp6ekUc3Ul7W7+/QEX+cedO0nY2XkD\nD3r7FVAoHMnIuJ2bZVmVBFQ+pVGpqFu2LOPs7NADUcBmi4WG3t7Zbrt57dpMUKm4A1wGflGraV67\n9iPHeJUqRfTZs7SoU4dpajWJwC3ge5WK5rVrsy8ujiolS1p1+SevUqWIjovDr1IlzOYjwCbAgIIZ\nFHJW4lm4MPvi4h5uLiiELatUqQ5mczSwDTCgUEzD3b047u4lcrs0q5GAyseWjxpFeLlyOCkUdHN2\n5o9hw/DOgV/G4956C8/XXqOkvT0+SiVvtmtH32bNHjnmg1atmPzPP/Rv2ZLXW7emilKJp709Vf39\nGdWtGz+sWcOgli2zXcuT9AoIYMfJk6Skp7N+5Kd4uA9AodBQtdTPhAcHsj4mBrWDAw2qVrVqHULk\nhKJFyxAUtAw3t/dRKDR4ei5h7Nh1Nr3GZ3bJIIkCwGw2W+Uv8YNVxR+3xqDBaKTjDz/grFbzY9++\nlC9eHIvFwvU7dxi9dCnHEhIIDw7GWaPJ8bqymh8Rwehly/j9gw9o7esLgNFsZunu3XyxYAGrAwNp\n5ONj1RqelQySEM/KWj/Tz0sm6opss9Zf5Ce166BUsnbECMYsW0bdUaOo5OGBvZ0dsVev0jsggLCx\nY60eTgDvNmuGu5MTgYsWkXb3LmWLFePM1av4lC7N+pEjqS+9J5EH2UI4vQzSgxJWl6nTcfjCBcwW\nC6+WK4e7k9NLr8FisXDi0iVupqdTpkiRbK3U/jJIb0rkBdKDegHxSUlEnz2LvZ0dTV55hRKFCuV2\nSfnO+evX2RcX90zX2EmtzpHBGdmhUCissrSR2WxmXkQEB8+fx8PNjU/ataOIi21vm5GensKJExEY\nDDoqVKgli9UKm5WvelBXUlL4YM4cos+epVn16hiMRnacOkXHOnWY0b8/brnwL/f85vLNm3wwZw77\n4uIeucad69bll/79bWLC68vy08aNjFy8GJPZTKnChUnNzOTO3bu0qVmTDSNHZus2jDV6UHq9loUL\nhxMZuRhv7wDUamdiY3fh6enNoEFzKFVKbneK5yOrmWf1hIBKTk2lwVdf0bdpU4Z37EimTofS3h6F\nQsGIRYs4evEi4cHBaLK5T1C6VkuGVouHu7tNb0D4gNls5trt2xR2cXnqHkkPBjG4aDS4POb50I3U\nVOp/+SX9mzfn8w4dyNDpcLC3ByBw4UJOXrnC9rFjUTs4WOVcbMmMzZv5ZN48RnXpQnDXrhy/fJlK\nHh4cjI+n86RJVC9bluiJE1+4/ZwOKLPZzKRJnVCpHBk4cBYODhp0ukycnQsRGjqHNWu+45tvovDw\nqJCj3yvyN7nF94ymb9xIixo1+LxDB9p99zN7zsRisZjo7t+Q+UMG8MbEify9ezf9mjd/ofYtFgtj\nFi1i2saNaOzsqFqyJGvHjLHp24enLl+m0zffkJqRQabZzLR+/RjYuvVjj028dYtO48cTn5TEXbOZ\nwI4d+bpPn0eOmbp+PW1q1uTTdu1oO2E60XFnsFhM9AoI4I8PB9JmwgSWRUXRt2n+37585OLFfNa+\nPfWrVsXpnQ8wWewALX0bB3Bk8mSqfvopkadO0egV27h9dvjwJlJSrjBhQjSLF49hy5YZ2Nlp8PT0\nYcyYtdy5k8SqVRP48MO5uV2qEA/lm6Egf2zfzmft2/P5/GXsPVsJvfEmBtN11uy7y88btzCsfXt+\n3779hdtfFR3Nmq1buWgykWww0PjqVT6aMSMHzyDndf/uO4bfusV1vZ5DRiNj5s/n8IULjz124PTp\ntE5M5IbBwHmTiaWbNrHuwIGHn1sslofX+NO/lrLvnDd6YwoG0zVWRqcza2totq9xXrEyOhqtwcB3\nffrQdcosTJapQCpwnAW7YjgUH49vuXKMXro0t0t9aPv2P2jbdijR0SsJC9uMyZSAwXCDy5frMmvW\nENq2/Zi9e0Py9bI5Iu/JFwGlMxhITkvDp3Rpdp++gM4whHuL+7iQqR/IrtiL+JYrx8UbN174Ow7E\nxdFLp6MYoACGmEzsP3cuh84g52n1es4kJzPo/usqQGuFgkPx8Y89/sCFC3xsNqMASgA9dDoOZDk/\nrcHAncxMvDw9iXp4jZWAK5m6Aew6lf1rnFccuXCBIi4u3M7IwGjWAu/f/8QLJc3YevQotSpU4Mqt\nW7lZ5iNu3LhIuXKvcubMAXS6t4CigB0m0xDi4g5QqFAJNBoXUlOTc7tUIR7KFwGlUipRK5Vcv3OH\nyiWKYm8Xdv8TC2plGFVLFeZySkq2RleV9/Bgp0qF8f7rcKD8f23rbUvUDg4U1mjYff91OrAPKF+8\n+GOPL1+kCA/6PgZgl1r9yLFqpRKlvT1Jj7vGDjlzjfOK0kWKkHb3LsVcXbkX0nvuf5KGiQNUL1uW\nizdu5Mpw+v+Pi0sRUlIuU7JkeVSqHYDp/ifhFCtWHq02g8zMOzg5uedmmUI8Il8ElEKhoHdAAHND\nQ5kxoBfF3ebi5tgIV40flUrsY/SbnZgTGkqfRo1e+DsGtGiBfeXK1NZoaOvoyJdOTsy04lYR2aVQ\nKPhr2DD+o1bTwckJX7WaFv7+NK9e/bHH/zZ0KMMdHXnD0ZFaGg0uVao88izJzs6Onv7+zA0LY9bA\n3hRz/RU3x8a4OvpRpcQhvvxPx2xf47yiX/PmGE0m/gwPJ7hbB6A1ShqjoDKvlFIzoFkzdsXGMqxd\nu9wu9aGAgN6Ehs6hdesPqFBBj0bjh6NjG5ydxzNkyC9ERi6mevXmODm5Pb0xIV6SfDOK7/TVqzQe\nO5b5Q4YQ4O3N7tOnUdrb09jHh4U7d/LNypUcmjSJoq6uL/z1JrOZyNhY0u7epX7Vqo/sf2SrLiUn\nExMfT6nChalXufITRx4m3blD9NmzuDs50cjH53+GSZ+6fJkmwcEsGjoUfy8vImNjUSmVNPLxYf6O\nHUxcvZpDkyYViF7UoNmz+SsigtAxY3BQKll34ADenp50bdAA3+HDuavXkzhnTo59X3ZH9el0mYwc\nWYfGjd+hU6dATp/ejVabjpeXP4mJZ5g0qTNBQeuoWrV+DlUsCgIZZp7VU+ZBRZ0+TY9p06hcogTt\n/fwwmEys2LsXncHA6sDAHFkotaCLjI2l57RpVC1Vina1a6M3Glmxdy8Gk4k1gYFULVUqt0t8abr9\n+COroqMpV7w4NcuXJ/HWLQ6eP0/JQoU4NGkSHu45d7ssJ4ad37x5mSlT3uTu3VQaNuyFRuPCsWOh\nxMfHMHjwX/j52U6PT+QNElBZPcNSRwajkTX797P3/koSLWvUoLWvb4FZu+pl0BuNrNm3j+j7K0m0\n9vWlZY0aBfIan7t2jZFLlnDu2jXcHB35rEMHOterl+Pfk1PzoiwWC7GxkRw6tPHhShL+/t1RqQrO\nBGuRcySgspK1+EQBJWvzCVskW74LIYQokCSghBBC2KR8s9TRAxaLhd+3bWP+li042NvzWY8edKpb\nN7fLyhUp6em0Cw7mwtWrOGo0zBw6lHZ+frldlhBCPJN89wzq923bmLJgAb/odGQAg1UqFowYQav7\nu6kWJF6DBlH19m2+4t4k3a+A6ClTrLLthHh55HmUsBXyDOo5Ldq6lZ90OloDXYDRej1LwsKe9sfy\nnUytlvO3b7MCaAgMA5oBM7dsydW6hBDiWeW7gFI5OJCa5XUaoMrmFht5kVJ57+5tepb30gBNAdgK\nQwiRP+S7Z1Cf9+jBe1OmcFWvJwOYplYT1qFDbpf10qmUShpUrEjT+Hg+B6KAo3Z2LO/SJbdLE0KI\nZ5LvnkEB7Dh5kiVhYSiVSj5s355XC+gzF7PZTP+ZM9l/4gSFCxVi/rBhVC5ZMrfLEtkkz6CErZCJ\nulnJRF0hJKCEzZAddYUQj+hOyCOvJbBEfpXvBkkIIYTIH6QHJUQ2xJw/z9ywMM5dv467kxM9/P3p\nUq8eDkr50RIiu6QHJcQLMJvNfDR3Ll0mT6Zs0aJ83qED7f38+HnTJvyCgriakpLbJQqR5xX4gLp2\n+zY/bdzIj+vWcf769dwuJ8ftPHmS71avZl54OHqj8el/QDyT79es4VhCAiemTiXAx4dD8fEAhI0Z\nQw9/fzpNmoTZbM7lKoXI2wr0fYiE5GQajhjB61otjhYLDUJC2Dp+PLUqVMjt0nLEb5s3M3HxYnoZ\nDIQ6OLAkLIxN48ahtLfP7dLyNJ3BwE+bNrFr3DgWRkTw/eLF9DIa2ebgwN9hYawPDmZFdDTbjx8v\nkEtsCZFTCnQPavLKlfTNzORPo5GZJhPjtVqC58/P7bJyhNlsJnDBArbrdEwym9mm05GWkMCGmJjc\nLi3Pizp9mkoeHlQuWZIRCxcSodc/vMYpFy+y5cgR3mncmDX79+d2qULkaQW6B5Vy+zZ1s9yG8QKW\npKXlXkE5yGAyoTOZqHj/tR1QBbiVkZGLVeUPmXo9hZyd0RuNGM1mKtx/355/r3FhFxdOXr78UuqR\nYecivyrQPag3GjTgB7WaU8BFYKxaTdv69XO7rByhdnCgUaVKBNrbkwxsArZYLDT28cnt0vK8amXK\ncPD8eRRA/fLlGWFvz01gIxBqsdDIx4ddp05RvWzZXK5UiLytQAfUW02a0O/NN2np5EQ9jYaGLVoQ\n1LVrbpeVY5aNGkWcjw9VVCq+KFqUZUFBstRRDqjo4YFfxYrMDg0l5MsvifX2prKDA8OLFiVk5EhM\nZjNrDxzg3aZNc7tUIfI0WepIiBdw5upVmn79NZ+88QaD27TB3ckJk9nMpkOHGPLHH4x+803eb9Uq\nV2qTW3ziZZGljoSwQV6enkSOH8/opUupMGQI5YoVI+nOHcoWLcov/fsX2F2chchJElBCvKDKJUvy\n97Bh3ExL49LNm7g7OVHRwyO3yxIi35CAEnnWuWvXmLJuHbczMvCrVInP2rV7uFFjduiNRjYdOsSV\nlBQ83N1p7+eH4xM2vSzq6kpRV9dsf68Q4lHyDErkOZlaLY2DgzkUH0+pwoVxd3Liwo0bGE0mJvTu\nTWCnTi/c9rzwcEYtWcIrZcrgXaoU8TduEHP+PF+9+SaftmuHQmHVW+45Tp5HCWuSZ1BC/BffwEBu\nZ2ZyYto04F5PqpG3N79u20bQ4sU4qlR83Lbtc7f75/btfLtqFVtHj6ZSiRIkJCdTukgRbqSm0mXy\nZAwmU7bCTwjxfCSgRJ6yPCqKCzducG3OHHpN/YWwk7EoKIxCkcaKzz9kaNu2fPn3388dUDqDgVF/\n/8220aNJvHWLFqNHU1ShIMlsZvZHH7Fx1ChqBQYyqFUr3J2crHR2QoisCvQ8KJH3fL9mDY19fFga\nFcX2k1eBC1hIxGyZTs9pc/nhrbfI0GrZcvjwc7W76dAhqpUpQ0UPD9768UfW6HSc1mrZodcz+Ndf\nUdrZ0erVVwnZs8c6JyaE+B8SUCJPSUpNxbd8eSJPncKONsCDicfvYTCnobSzw9XRkROXLj1Xu1dS\nUvDx9CQhOZliCgWN7r/vC/golZxJTMSndGku37yZg2cjhHgSCSiRpxR2dub01avUrFABMzuA1Puf\nbMBe4QxAulb73CtmFHdz48KNG5QuUoTrZjPH7r8fD8QaDFQqUYL4pCQ83N1z6lSEEE8hASXylE/b\ntSPs+HGGtmlDjTJqoDz2+KKgN7Pe78O3q1ahUirpWKfOc7XboU4d9sXFcTMtjV8//JDmKhVNnJyo\n5+DAt++8g6NKxfqYGHr4+1vnxIQQ/0OGmYs8xWw24/nBB2gcHIiZNInI2FjOX79Oez8/9sXF0XfG\nDMZ260Zw9+cfXv3junXM37GDDSNHYmdnx5mrV6no4YGzRkPnSZNoVq0aE/v0scJZWY8MMxfWZO1h\n5hJQIs9JTk2l7qhRJCQnU610aYq6unLi8mVS0tMZ2rYtP/Xr90LtWiwWfli7lh/WruV1X198Spcm\nPimJdQcP8kGrVkzs3Rs7u7x100ECSliTBFRWElAii4gTJ/hx/XrSMjOpXq4cE3r2pJCLS7bbvZWe\nTsjevfdWknBzo0fDhhR3c8uBinOfBJbISRJQWUlACZEtElAiJ1k7oPLW/QohhBAFhgSUEEIImyQB\nJYQQwiZJQAkhhLBJElBCCCFskqxmLkQB0p2Qh/8tI/qErZMelBBCCJskASWEEMImSUAJIYSwSRJQ\nQgghbJIElBBCCJskASWEEMImyTBzIQqorEPOQYadC9tT4APqQlISC3bswGgy0aNhQ2qUK5fbJQkh\nhKCA3+I7m5hIg8BAUlauxLh6Nc2/+oo9Z87kdllCCCEo4AE1ddUqPtJqmW42M9FiYZJOx4TFi3O7\nLCGEEBTwgErPzKRslg0by95/TwghRO4r0AHVpXFjJqjV7AWOAkFqNV0aN87tsoQQQlDAB0l0bdCA\nm6mp9Fu1CqPJxHuvv84nHTrkdllCCCEAhSXLLS6bFxKSh4oVIm+TYefiabp3R2HN9gv0LT4hhBC2\nSwJKCCGETZKAEkIIYZMkoIQQQtgkCSghhBA2SQJKCCGETSrQ86CEEP+/rKudy5BzkRukByWEEMIm\n5a2JukIIIQoM6UEJIYSwSRJQQgghbJIElBBCCJskASWEEMImSUAJIYSwSRJQQgghbJIElBBCCJsk\nASWEEMImSUAJIYSwSRJQQgghbJIElBBCCJskASWEEMImSUAJIYSwSRJQQgghbJIElBBCCJskASWE\nEMImSUAJIYSwSRJQQgghbJIElBBCCJskASWEEMImSUAJIYSwSRJQQgghbJIElBBCCJskASWEEMIm\nSUAJIYSwSRJQQgghbJIElBBCCJskASWEEMImSUAJIYSwSRJQQgghbJIElBBCCJv0f3/xBqv1Ov60\nAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x16259518>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "X, y = X[np.in1d(y, [1, 2])], y[np.in1d(y, [1, 2])]\n",
    "plot_estimator(svc, X, y)\n",
    "pl.scatter(svc.support_vectors_[:, 0], svc.support_vectors_[:, 1], s=80, facecolors='none', zorder=10)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "* **正则化** ：只考虑支持向量其实就是一种正则化的形式。实际上，它强迫模型在处理样本特征的时候变得更加简单。\n",
    "This regularization can be tuned with the *C* parameter:\n",
    "* 正则项可以通过调整系数 *C* 来决定：\n",
    "  - 小的C值：将会有很多支持向量。决策边界=类别A的平均值-类别B的平均值\n",
    "  - 大的C值：将会有较少的支持向量。决策边界是被大多数支持向量所决定。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.text.Text at 0x17e39fd0>"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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ky5u3NCaTkZCQezjYOSOYi2XrghCsoljxmly7dhQHh2zY2jqg12fi4cNbFCpU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\nAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x162592e8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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Ii4vk0SN/8uUrho1NXn766UuKFKlE9+5zDI7Zz+8YixZ1YcyYvdjZFSQw8DwW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\nAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x17db2b00>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "svc = svm.SVC(kernel='linear', C=1e3)\n",
    "plot_estimator(svc, X, y)\n",
    "pl.scatter(svc.support_vectors_[:, 0], svc.support_vectors_[:, 1], s=80, facecolors='none', zorder=10)\n",
    "pl.title('High C values: small number of support vectors')\n",
    "\n",
    "svc = svm.SVC(kernel='linear', C=1e-3)\n",
    "plot_estimator(svc, X, y)\n",
    "pl.scatter(svc.support_vectors_[:, 0], svc.support_vectors_[:, 1], s=80, facecolors='none', zorder=10)\n",
    "pl.title('Low C values: high number of support vectors')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "* 支持向量机的有个好处是对于许多数据集，默认参数'C=1'其实工作得很好。\n",
    "* **实践经验：对样本正则化**： 对于许多分离器，采用标准差正则方法是非常重要的提升预测效果的手段。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 核方法"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "采用核方法，能够很方便地产生非线性分类边界。\n",
    "\n",
    "- **linear**，线性核，会产生线性分类边界。一般来说它的计算效率最高，而且需要数据最少。\n",
    "- **poly** ，多项式核，会产生多项式分类边界。\n",
    "- **rbf**，径向基函数，也就是高斯核，是根据与每一个支持向量的距离来决定分类边界的。它的映射到无线维的。它是最灵活的方法，但是也需要最多的数据。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.text.Text at 0x166feef0>"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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4upw8eZYXL4fy4L4DPw8pxw8/TMLY2JStW8dndaip1qwZQYECZXBwKMv48Y158qQOoaF9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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x15b4de48>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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hpWna3udt5M5dlNOnNzDw580o7EZFVdS0BtpTr0FnZs5shUqlSfWUc0/Przl2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\nJAElhBDCIUlACSGEcEj/D8uNFM8IYxPJAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x182f3400>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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LsJgYtpYpQ3k7O5pOm8bPrVqh1NNLV73m5vmpXr0DK1YMYNCgjZQvX4fAwDvY2IygevWO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\nSSJBCYIgCHmSSFCCIAhCnvQ/Te4NkrHsKSsAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x17cb2518>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "svc = svm.SVC(kernel='linear')\n",
    "plot_estimator(svc, X, y)\n",
    "pl.scatter(svc.support_vectors_[:, 0], svc.support_vectors_[:, 1], s=80, facecolors='none', zorder=10)\n",
    "pl.title('Linear kernel')\n",
    "\n",
    "svc = svm.SVC(kernel='poly', degree=4)\n",
    "plot_estimator(svc, X, y)\n",
    "pl.scatter(svc.support_vectors_[:, 0], svc.support_vectors_[:, 1], s=80, facecolors='none', zorder=10)\n",
    "pl.title('Polynomial kernel')\n",
    "\n",
    "svc = svm.SVC(kernel='rbf', gamma=1e2)\n",
    "plot_estimator(svc, X, y)\n",
    "pl.scatter(svc.support_vectors_[:, 0], svc.support_vectors_[:, 1], s=80, facecolors='none', zorder=10)\n",
    "pl.title('RBF kernel')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "我们可以看到，高斯核更灵活，而且对于训练数据效果是最好的。但是要担心过拟合。"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.1"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}
